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Finding the Fourth Proportional to 2,678.73, 3,697.65 and 2,398.47

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Solution

The fourth proportional to 2,678.73, 3,697.65 and 2,398.47 is: 3,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.73 : 3,697.65 = 2,398.47 : x
  2. Step 2: Convert to fraction form
    2,678.73/3,697.65 = 2,398.47/x
  3. Step 3: Cross multiply
    2,678.73x = 3,697.65 × 2,398.47
  4. Step 4: Simplify right side
    2,678.73x = 8,868,702.60
  5. Step 5: Solve for x
    x = 8,868,702.60/2,678.73
  6. Step 6: Final answer
    x = 3,310.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.